On integration-by-parts for weighted integrals
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- by Fred M. Wright and James D. Baker
- Proc. Amer. Math. Soc. 22 (1969), 42-52
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245750-8
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References
- H. L. Smith, On the existence of the Stieltjes integral, Trans. Amer. Math. Soc. 27 (1925), no. 4, 491–515. MR 1501324, DOI 10.1090/S0002-9947-1925-1501324-5
- Ralph E. Lane, The integral of a function with respect to a function, Proc. Amer. Math. Soc. 5 (1954), 59–66. MR 59346, DOI 10.1090/S0002-9939-1954-0059346-3 B. Dushnik, Unpublished Ph.D. thesis, University of Michigan, Ann Arbor, Michigan, 1931.
- J. S. MacNerney, An integration-by-parts formula, Bull. Amer. Math. Soc. 69 (1963), 803–805. MR 153809, DOI 10.1090/S0002-9904-1963-11039-3
- Keith P. Smith and Fred M. Wright, Existence conditions for the Lane integral, Proc. Amer. Math. Soc. 18 (1967), 1067–1073. MR 0217235, DOI 10.1090/S0002-9939-1967-0217235-4 Henryk Schärf, Ueber links- und rechtsseitige Stieltjesintegrale und deren Anwendungen, Portugal. Math. 4 (1943), 73-118.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 42-52
- MSC: Primary 28.25
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245750-8
- MathSciNet review: 0245750